The former England star was consulted when the FA were searching for Roy Hodgson’s replacement.

And Lampard – now at New York City - hopes new boss Sam Alladyce can add the arrogance that his former Chelsea boss Jose Mourinho brought to his game.

“I felt for them after the Iceland game, but that’s just the way of the world and I hope that we can come back because I think it is a positive squad,” Lampard said after a sweltering session at New York State University.

“There are a lot of good young players there and if we can try and change this mindset, get a confidence in the team, get an arrogance in the team and a bit of belief in ourselves and focus.

The top 20 teams in England since the Premier League began

HERE's the top 20 clubs in the country since the Premier League began - worked out by adding up their aggregate positions (from 1-92) in the English football system since the 1992-93 season. The lower the number, the better the team!

1 / 20

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20. Birmingham - 623

“Those three big attitudes, confidence, focus and arrogance.

“You look at the Portuguese team and there is an arrogance flowing through them, certain players, naming no names. That can sometimes carry you over the line - you need to have a bit of arrogance.

“Jose Mourinho brought me a bit of arrogance to my game by giving me a belief in myself that i didn’t have before.

“It can certainly happen with a manager - you hope Sam Alladyce and his team can transmit that into the players because I think it has to be there.

“You can’t just rely on promise or good players, you have to be able to do it on the pitch and deal with a moment where you go 2-1 down against Iceland and maybe put your chest out as opposed to worry about the repercussions of losing the game.”

“I think no matter what his future he is still going to remain England’s No.1”

Frank Lampard

Lampard is now at Manchester City’s sister team in New York but he still had a spell with the Premier League club after Chelsea so knows Joe Hart more than just from England squads.

And he has backed his former team-mate to continue between the sticks for England and continue to impress even if he leaves City after being dropped by new boss Pep Guardiola.

“I think no matter what his future he is still going to remain for me England’s No.1 on-going. I think he is a great goalkeeper and a great lad,” Lampard said.

“Whether he stays at City and fights his way back into the team because he certainly has the ability to do that or moves on and carries on showing the ability he has. I love Joe and I really mean that.”

Lampard’s own focus is now on MLS and tomorrow’s reunion with former Chelsea team-mate Ashley Cole as well as another midfield battle with Liverpool icon Steven Gerrard as New York City host LA Galaxy in front of 40,000 at Yankee Stadium.

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CLASS: Lampard has found form in the MLS

Chelsea and Liverpool went toe-to-toe domestically and in Europe when Lampard and Gerrard were both in their pomp and now they face off as their careers wind down in America.

“It is nice in this stage of our career to have a rivalry, to want to win, but not have the same intensity,” Lampard, who wants to stay in New York beyond the end of this season, said.

“The Champions League nights were huge and it was always, the toughest game I found domestically, to travel to another English ground on a Champions League night.

“There were many a night I can recall Stevie driving from midfield at Anfield and I tried to reverse that at Chelsea and be our driving force.”